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0.91^8/0.91^9

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amorphous
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0.91^8/0.91^9 [#permalink] New post   13 Jun 2018, 22:16
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78% (00:17) correct 21% (00:18) wrong based on 89 sessions

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Quantity A
Quantity B
\(\frac{0.91^8}{0.91^9}\)
1



A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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A
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GreenlightTestPrep
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Re: 0.91^8/0.91^9 [#permalink] New post   14 Jun 2018, 06:11
1
amorphous wrote:
Quantity A
Quantity B
\(\frac{0.91^8}{0.91^9}\)
1



A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given


Approach #1:
Given:
Quantity A: (0.91^8)/(0.91^9)
Quantity B: 1

Apply Quotient Law to quantity A to get:
Quantity A: 0.91^(-1)
Quantity B: 1

Rewrite quantity A as:
Quantity A: 1/0.91
Quantity B: 1

Since the numerator (1) is greater than the denominator (0.91), we know that 1/0.91 is greater than 1

Answer: A

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Brent
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Re: 0.91^8/0.91^9 [#permalink] New post   14 Jun 2018, 06:14
1
amorphous wrote:
Quantity A
Quantity B
\(\frac{0.91^8}{0.91^9}\)
1



A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given


Approach #2:

We can solve this question using matching operations

Given:
Quantity A: (0.91^8)/(0.91^9)
Quantity B: 1

Multiply both quantities by 0.91^9 to get:
Quantity A: 0.91^8
Quantity B: 0.91^9

Divide both quantities by 0.91^8 to get:
Quantity A: 1
Quantity B: 0.91

Answer: A

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Re: 0.91^8/0.91^9 [#permalink] New post   12 Jun 2020, 10:59
1
Another solution is to multiply both quantities by 0.91^9 and by doing so we get
A
0.91^8

B
0.91^9

And we know that any numbers between 0 and 1 raise to power, its value decrease as the power increases. 1/2> (1/2)^2 and such that.
Here clearly that A is Bigger than B.

Regards,,,
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Re: 0.91^8/0.91^9 [#permalink]
12 Jun 2020, 10:59
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